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2 years ago

find the consecutive even integers such that three times the larger number is 30 more than the smaller one. help :')

Mathematics

1 answer:

Minchanka [31]2 years ago

4 0

Answer:

12 and 14

Step-by-step explanation:

Let the even integers be x and x+2

three times the larger number is expressed as 3(x+2)

30 more than the smaller one is x + 30

Equating both expressions

3(x+2) = x +30

Find x

3x+6 = x+30

3x-x = 30-6

2x = 24

x = 12

The second integer is 12+2 = 14

Hence the required integers are 12 and 14

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In an auditorium, there are 21 seats in the first row and 29 seats in the second row. The number of seats in a row continues to

eimsori [14]

Step-by-step explanation:

a) The 3rd row has 37 seats, the 4th row has 45 seats and the 5th row has 53 seats.

b) This is an arithmetic sequence because the values differ by a constant quantity.

c) You need to find the nth term of the sequence:

21 = 1×8+x

x=13

So the nth term is 8x +13.

The 100th term would be 813.

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3 years ago

What is the diameter of circle T?

Ratling [72]

Answer:

$Diameter = 16$

Step-by-step explanation:

Given

$\theta = 72$

$Sector = \frac{64}{5}\pi$

Required

Calculate the diameter

The area of a sector is:

$Area = \frac{\theta}{360} * \pi r^2$

Substitute values for Area and $\theta$

$\frac{64}{5}\pi = \frac{72}{360} * \pi r^2$

Divide both sides by $\pi$

$\frac{64}{5} = \frac{72}{360} * r^2$

Make $r^2$ the subject

$\frac{64*360}{5*72} = r^2$

$\frac{64*360}{360} = r^2$

$64 = r^2$

Take positive square roots of both sides

$\sqrt{64} = r$

$8 = r$

$r = 8$

The diameter is then calculated as:

$Diameter = 2r$

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$Diameter = 16$

5 0

2 years ago

Which sentence represents the area of

max2010maxim [7]

the answer is l*w= A so that is the answer

5 0

2 years ago

Read 2 more answers

46 + 1) + y = 5(y - 1) +9<br> Solve

Radda [10]

Answer:

y=10.75

Step-by-step explanation:

46 + 1) + y = 5(y - 1) +9

47+y=5y-5+9

47+y=5y+4

Collect like terms

47-4=5y-y

43=4y

Divide by 4

43/4=4y/4

43/4=y

y=10.75

7 0

2 years ago

I need some help for school.

Marina86 [1]

I can help with B, but parts A and C are for you to come up with on your own. Anyways, to rewrite the equation with multiplication, the problem is asking you to change the division into a fraction. Anytime you divide a fraction, you need to flip the numerator (the top number) and the denominator (the bottom one), and change the divide sign into a multiplication one. So the equation would look like $32\frac{1}{4} \times 8 = 258$ .

5 0

2 years ago